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On the existence of flexural edge waves on thin orthotropic plates
 

Summary: On the existence of flexural edge waves on thin
orthotropic plates
Ian Thompson and I. David Abrahamsa)
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL,
United Kingdom
Andrew N. Norris
Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway,
New Jersey 08854-8058
Received 11 January 2002; revised 12 July 2002; accepted 15 July 2002
This paper is concerned with an investigation into the existence of waves propagating along a free
edge of an orthotropic plate, where the edge is inclined at arbitrary angle to a principal direction of
the material. After deriving the governing equation and edge conditions, an edge wave ansatz is
substituted into this system to reduce it to a set of algebraic equations for the edge wave wave
number and wave vector. These are solved numerically for several typical composite materials
although analytic expressions can be obtained in the case of special values of the material
parameters and inclination angle. It is found that a unique edge wave solution, which generally
exhibits oscillation as well as decay away from the free edge, exists in all cases, and its wave speed
is independent of its direction of propagation along the plate. 2002 Acoustical Society of
America. DOI: 10.1121/1.1506686
PACS numbers: 43.20.Gp, 43.20.Jr, 43.40.Dx JGH

  

Source: Abrahams, I. David - Department of Mathematics, University of Manchester
Norris, Andrew - Department of Mechanical and Aerospace Engineering, Rutgers University

 

Collections: Engineering; Materials Science; Mathematics